You must be dreaming....
GE F404 or F414 engines and M-88-3 engines are all western engines.
Western countries currently ban all their military sales to China.
Pakistan and Egypt have no experience and the necessary facilities to do the engine accomodation of different types. Even the K-8 which Pakistan requested for American honeywell engines to be used, had to go thru engine swap and testing in China. American only allow the honeywell engine to be send to China becos K-8 persist no threat as trainer.
Only China is capable of replacing a new type of engine on FC-1. Russia and Westen countries are out of question for the job.
So, only WS-13 and RD-93, all other's are out of question and will probably wait too long.
yet,I know,most western countries will never export there engine to china,one option is that the aircraft be assemble in egypt.
or china has emgergency plan or alternative option,like new engine,under this circumtance, China may have to accerelate the development of new engine.